The Constitution says no one can be twice elected so the scenario where Vance (or another chosen shill) selects Scrotus as VP and, assuming they win, resigns the office making Scrotus the POTUS would be Constitutionally possible. But to stay in office 'in perpetuity', in each term he'd have to select a VP, get them elected, have them resign, appoint another VP, etc etc, ad infinitum.
If they just used the term 'served' instead of 'elected' when they wrote the 22nd Amendment.
"Section 1
No person shall be elected to the office of the President more than twice, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President shall be elected to the office of the President more than once. But this Article shall not apply to any person holding the office of President when this Article was proposed by the Congress, and shall not prevent any person who may be holding the office of President, or acting as President, during the term within which this Article becomes operative from holding the office of President or acting as President during the remainder of such term."
Personally, I'd love to see Obama selected as a VP nom and pull the same 'trick'. But that's never going to happen.